Exotically knotted 2-spheres and the fundamental groups of their complements

2024/06/11 by Benyahia, Younes
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2406.07093

Abstract

We show that for any finitely presented group G, there is a simply connected closed 4-manifold containing an infinite family of topologically isotopic but smoothly inequivalent 2-links whose 2-link group is G. We also show that, if G satisfies the necessary topological conditions, these 2-links have nullhomotopic components.

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